y = mx + c: Challenge & Extension
Mathematics
Grade 6
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the equation y = mx + c, designed to challenge students with extension questions on plotting and understanding linear graphs.
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Full preview • 14 questions
y = mx + c: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Given y = 3x + 2, calculate y when x = 4.
[2 marks]2.
Complete the table for y = -2x + 5:
x: 0, 1, 2, 3
y: ?
[3 marks]3.
Plot the graph of y = 2x on the grid for x = -2, 0, 2.
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A car rental company charges a fixed fee of $50 plus $0.20 per mile driven. Write the equation for the total cost y based on miles x. If a customer drives 150 miles, what is the total cost?
[4 marks]2.
Determine the slope m of the line passing through points (2, 5) and (4, 9).
[3 marks]3.
If y = -4x + 7, find the value of y when x = -3.
[2 marks]C
Real-world Applications
Answer all questions. Show your reasoning in the grid areas.
1.
A gardener plants trees in a straight line. The number of trees n is modeled by n = 4x + 10, where x is the number of days. How many trees are planted after 7 days?
[2 marks]2.
A mobile phone plan charges $25 monthly plus $0.10 per message sent. Write the linear equation for total cost y based on messages x. How much does it cost if 300 messages are sent?
[4 marks]D
Challenge & Extension
Answer all questions. Show your detailed working in the grid spaces.
1.
Given the equation y = -3x + 4, find the x-intercept and y-intercept of the line.
[3 marks]2.
Construct a line on the grid that passes through points (1, 2) and (3, 8). Write the equation of this line in y=mx+c form.
[4 marks]3.
A skateboard ramp rises 2 meters over a horizontal distance of 5 meters. Write the equation of the ramp’s slope-intercept form y = mx + c and determine its slope.
[4 marks]E
Mixed Review
Answer all questions. Use the grid for calculations and plotting.
1.
Plot the line y = -x + 3 on the grid for x = -2, 0, 2.
[3 marks]2.
If a line has a slope of 0 and passes through (4, 5), what is its equation?
[2 marks]F
Error Analysis
Review the common mistake and answer the questions.
1.
A student writes the equation y = 2x + 5 but accidentally plots the point (1, 8) expecting it to be on the graph. Is the point correct? If not, what is the correct y-value when x=1?
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet